求解变系数非齐次亥姆霍茨方程的边界单元法

The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients

本文利用拉普拉斯方程的基本解作为权函数，给出求解交系数非齐次亥姆霍茨方程的迭代格式，进而得到求解这类方程的边界元迭代法．文中给出了算例．最后，把本文给出的边界元迭代法与作者早些时候提出的边界元耦合法进行了比较．

Considering the fundamental solution of the Lapleace equation as the weight function.we give the iterative format for solving the nonhomogeneous Helmholtz equation with variable coefficients.Furthermore, the iteratioll method of BEM for solving the equation mentioned above is obtained. The numerical example is given in this paper.Finally,the iteract ion method of BEM mentioned above is compared with the coupled method of BEM that was pesented before then by authors.